What is 6.1+log_{10}((24)/((0.03*30))) ?

The solution to 6.1+log_{10}((24)/((0.03*30))) is 6.1++log_{10}(24)-(log_{10}(0.03)+log_{10}(30))

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simplify 6.1+log_{10}((24)/((0.03*30)))

simplify

6.1 + lo g_{10} (\frac{24}{( 0.03 \cdot 30 )})

6.1 + + lo g_{10} (24) - (lo g_{10} (0.03) + lo g_{10} (30))

Decimal Notation

7.52596 \dots

Solution steps

6.1 + lo g_{10} (\frac{24}{( 0.03 \cdot 30 )})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{24}{( 0.03 \cdot 30 )}) = lo g_{10} (24) - lo g_{10} ((0.03 \cdot 30))

= 6.1 + + lo g_{10} (24) - lo g_{10} (30 \cdot 0.03)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{10} (0.03 \cdot 30) = lo g_{10} (0.03) + lo g_{10} (30)

= 6.1 + + lo g_{10} (24) - (lo g_{10} (30) + lo g_{10} (0.03))

ln (\frac{x ^{2} + y ^{2} \cdot 2 + arctan ( \frac{y}{x} )}{2})

- ln (x) - ln (4 x)

ln ((x^{2} - 2 x - 24) (x^{2} - 3 x))

ln (3 x^{2} - 3) - ln (x^{2})

lo g_{z} (\frac{x}{9})

What is 6.1+log_{10}((24)/((0.03*30))) ?
The solution to 6.1+log_{10}((24)/((0.03*30))) is 6.1++log_{10}(24)-(log_{10}(0.03)+log_{10}(30))